退化到无阻碍的Fano Stanley-Reisner概形
代数几何
2019-11-26 v2
摘要
我们构造了Mukai簇及其线性截面向对应于凸δ面体的特殊无阻碍Fano Stanley-Reisner概形的退化。这可用于寻找秩一指数一的Fano三维簇的环面退化。在第二部分中，我们找到了许多更高维的无阻碍Fano和Calabi-Yau Stanley-Reisner概形。主要结果是，结合多面体对偶多面体的边界复形的Stanley-Reisner环具有平凡的。
引用
@article{arxiv.1102.4521,
title = {Degenerations to Unobstructed Fano Stanley-Reisner Schemes},
author = {Jan Arthur Christophersen and Nathan Owen Ilten},
journal= {arXiv preprint arXiv:1102.4521},
year = {2019}
}
备注
v2: 24 pages, 5 figures. Major revision to v1 with many new results. Parts of v1 have been moved to the preprint "Toric Degenerations of Low Degree Fano Threefolds"